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Finding the Fourth Proportional to 2,728.98, 3,761.91 and 2,138.49

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Solution

The fourth proportional to 2,728.98, 3,761.91 and 2,138.49 is: 2,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.98 : 3,761.91 = 2,138.49 : x
  2. Step 2: Convert to fraction form
    2,728.98/3,761.91 = 2,138.49/x
  3. Step 3: Cross multiply
    2,728.98x = 3,761.91 × 2,138.49
  4. Step 4: Simplify right side
    2,728.98x = 8,044,806.92
  5. Step 5: Solve for x
    x = 8,044,806.92/2,728.98
  6. Step 6: Final answer
    x = 2,947.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.